1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kifflom [539]
3 years ago
6

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 48°:

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

66°


Step-by-step explanation:

<em>See attached picture.</em>

<em>When an angle intercepts an arc, </em><em>ARC AC</em><em>, and forms in the </em><em>center [central angle]</em><em>, the angle has </em><em>SAME</em><em> measure as the ARC AC </em><em>[denoted by x]</em><em>. When the angle formed is on the opposite side, it has a measure </em><em>HALF</em><em> of that ARC AC </em><em>[denoted 0.5x ]</em>


If you look at the problem given, ∠DBC is intercepted by ARC DC and falls in the opposite side of the circle, NOT in the CENTER. <em>Hence </em><em>∠DBC</em><em> has a measure that is </em><em>HALF of ARC DC</em><em>.</em>

<em>There are </em><em>360 degrees in a circle.</em><em> </em><em>ARC DB</em><em> has 2 endpoints that are the diameter of the circle, so </em><em>ARC DB</em><em> has a measure of </em><em>180 degrees</em><em>. </em>Also,


ARC DB = ARC DC + ARC CB

ARC DB = ARC DC + 48

180 = ARC DC + 48

ARC DC = 180 - 48 = 132


Since, ∠DBC = 0.5 * ARC DC, we have:

∠DBC = 0.5 * (132)

∠DBC = 66

Our answer is the second choice of 66°.

SCORPION-xisa [38]3 years ago
4 0
Hello,

<span>Arc CD=180°-48°=132°
</span>
<span>the measure of ∠DBC=132°/2 =66°

</span>Answer B

You might be interested in
Find the hypotenuse of the triangle the 2 legs are 1/3 mm and 4/9 mm please help ill mark brainliest
nalin [4]

Answer: .697

Step-by-step explanation:

A2+B2=C2

1/3 2+ 4/9 2= .697

3 0
3 years ago
The quotient of a number and 5 increased by 10
KATRIN_1 [288]

Answer:

15

Step-by-step explain

because i did this one

6 0
2 years ago
Help fast
Nataly_w [17]

Answer:

I got D.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What does x equal? can i please have help quick!!!
Leto [7]

Answer:

30

Step-by-step explanation:

2x + x =90

3x=90

x=90/3

x is 30

6 0
2 years ago
Read 2 more answers
Please dont answer if you dont know it, im taking an exam
Anastaziya [24]
Cubic for sure. I’m in accelerated math no flex happy to help
6 0
3 years ago
Other questions:
  • Solve for x. what is aswer
    13·1 answer
  • What is the volume of a cylinder with base radius 333 and height 888?
    9·1 answer
  • If y = 3x - 4 and the domain is {-3,-1,4}, find the range.
    15·1 answer
  • A water dispenser has the capacity of 25,000 milliliters. What is the capacity in liters
    10·1 answer
  • If it rained on 3 days out of 20 days, on what percent of the days did it rain?
    9·2 answers
  • Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? ​Will Mark Bra
    5·2 answers
  • Does 100cm equal 1m
    12·2 answers
  • PLEASE HELP ME WITH THIS!! I WILL GIVE EXTRA POINTS,AND BRAINLIST IF YOU ANSWER THIS CORRECTY!!
    6·2 answers
  • Pls help i will give brainly
    9·1 answer
  • Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? O (-3, -4) O (-2, -1) O (1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!